20-3(2w+1)=5w-3(5+w)

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Solution for 20-3(2w+1)=5w-3(5+w) equation: 


Simplifying
20 + -3(2w + 1) = 5w + -3(5 + w)

Reorder the terms:
20 + -3(1 + 2w) = 5w + -3(5 + w)
20 + (1 * -3 + 2w * -3) = 5w + -3(5 + w)
20 + (-3 + -6w) = 5w + -3(5 + w)

Combine like terms: 20 + -3 = 17
17 + -6w = 5w + -3(5 + w)
17 + -6w = 5w + (5 * -3 + w * -3)
17 + -6w = 5w + (-15 + -3w)

Reorder the terms:
17 + -6w = -15 + 5w + -3w

Combine like terms: 5w + -3w = 2w
17 + -6w = -15 + 2w

Solving
17 + -6w = -15 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
17 + -6w + -2w = -15 + 2w + -2w

Combine like terms: -6w + -2w = -8w
17 + -8w = -15 + 2w + -2w

Combine like terms: 2w + -2w = 0
17 + -8w = -15 + 0
17 + -8w = -15

Add '-17' to each side of the equation.
17 + -17 + -8w = -15 + -17

Combine like terms: 17 + -17 = 0
0 + -8w = -15 + -17
-8w = -15 + -17

Combine like terms: -15 + -17 = -32
-8w = -32

Divide each side by '-8'.
w = 4

Simplifying
w = 4

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